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The tick/volatility ratio as a determinant of the compass rose pattern

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Listed:
  • Chun Lee
  • Ike Mathur
  • Kimberly Gleason

Abstract

This study provides evidence that low frequency data masks certain returns phenomena in the foreign exchange (forex) market. It is shown that the compass rose pattern is entirely absent in daily returns in the spot and futures forex markets. In contrast, the intraday returns, especially those for holding periods of less than an hour, clearly exhibit the pattern. Monte Carlo investigation of the tick/volatility ratio provides convincing evidence that the pattern appears only if the tick/volatility ratio is above some threshold level. Since intraday returns have a ratio above the threshold value, they exhibit the pattern. On the other hand, the absence of the pattern in daily returns is due to the fact that the spot and futures currency returns examined have a ratio much smaller than the threshold value. Overall, the evidence is consistent with the hypothesis that the tick/volatility ratio is a determinant of the compass rose pattern. The economic implications of this pattern are discussed.

Suggested Citation

  • Chun Lee & Ike Mathur & Kimberly Gleason, 2005. "The tick/volatility ratio as a determinant of the compass rose pattern," The European Journal of Finance, Taylor & Francis Journals, vol. 11(2), pages 93-109.
    • Handle: RePEc:taf:eurjfi:v:11:y:2005:i:2:p:93-109
    DOI: 10.1080/1351847032000137438
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    References listed on IDEAS

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    1. Szpiro, George G., 1998. "Tick size, the compass rose and market nanostructure," Journal of Banking & Finance, Elsevier, vol. 22(12), pages 1559-1569, December.
    2. Kramer, Walter & Runde, Ralf, 1997. "Chaos and the compass rose," Economics Letters, Elsevier, vol. 54(2), pages 113-118, February.
    3. Wang, Huaiqing & Wang, Chen, 2002. "Visibility of the compass rose in financial asset returns: A quantitative study," Journal of Banking & Finance, Elsevier, vol. 26(6), pages 1099-1111, June.
    4. Amilon, Henrik, 2003. "GARCH estimation and discrete stock prices: an application to low-priced Australian stocks," Economics Letters, Elsevier, vol. 81(2), pages 215-222, November.
    5. Elyasiani, Elyas & Kocagil, Ahmet E., 2001. "Interdependence and dynamics in currency futures markets: A multivariate analysis of intraday data," Journal of Banking & Finance, Elsevier, vol. 25(6), pages 1161-1186, June.
    6. Neely, C. J. & Weller, P. A., 2003. "Intraday technical trading in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 22(2), pages 223-237, April.
    7. Harvey, Campbell R & Huang, Roger D, 1991. "Volatility in the Foreign Currency Futures Market," The Review of Financial Studies, Society for Financial Studies, vol. 4(3), pages 543-569.
    8. repec:bla:econom:v:55:y:1988:i:220:p:437-60 is not listed on IDEAS
    9. Almeida, Alvaro & Goodhart, Charles & Payne, Richard, 1998. "The Effects of Macroeconomic News on High Frequency Exchange Rate Behavior," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(3), pages 383-408, September.
    10. Caporale, Guglielmo Maria & Hassapis, Christis & Pittis, Nikitas, 1998. "Conditional Leptokurtosis and Non-Linear Dependence in Exchange Rate Returns," Journal of Policy Modeling, Elsevier, vol. 20(5), pages 581-601, October.
    11. Muller, Ulrich A. & Dacorogna, Michel M. & Olsen, Richard B. & Pictet, Olivier V. & Schwarz, Matthias & Morgenegg, Claude, 1990. "Statistical study of foreign exchange rates, empirical evidence of a price change scaling law, and intraday analysis," Journal of Banking & Finance, Elsevier, vol. 14(6), pages 1189-1208, December.
    12. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    13. Crack, Timothy Falcon & Ledoit, Olivier, 1996. "Robust Structure without Predictability: The "Compass Rose" Pattern of the Stock Market," Journal of Finance, American Finance Association, vol. 51(2), pages 751-762, June.
    14. Harris, Lawrence, 1990. "Estimation of Stock Price Variances and Serial Covariances from Discrete Observations," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(3), pages 291-306, September.
    15. Goodhart, C. A. E. & Figliuoli, L., 1991. "Every minute counts in financial markets," Journal of International Money and Finance, Elsevier, vol. 10(1), pages 23-52, March.
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